13 citations · 20 across the 4 of their papers we have counts for
7 papers
A relationship between rational and multi-soliton solutions of the BKP hierarchy
J. J. C. Nimmo, A. Yu. Orlov
We consider a special class of solutions of the BKP hierarchy which we call -functions of hypergeometric type. These are series in Schur -functions over partitions, with coef…
Tau Functions and Matrix Integrals
A. Yu. Orlov
We consider solvable matrix models. We generalize Harish-Chandra-Itzykson-Zuber and certain other integrals (Gross-Witten integral and integrals over complex matrices) using the no…
New Solvable Matrix Integrals
A. Yu. Orlov
We generalize Harish-Chandra-Itzykson-Zuber and certain other integrals (Gross-Witten integral and integrals over complex matrices) using the notion of tau function of matrix argum…
Matrix Integrals, Symmetric Functions theory and matrix integrals
A. Yu. Orlov
We consider certain scalar product of symmetric functions which is parameterized by a function and an integer . One the one hand we have a fermionic representation of this s…
Flag Spaces in KP Theory and Virasoro Action on \det D_j and Segal-Wilson τ-Function
P. G. Grinevich, A. Yu. Orlov
It is well-known that the algebra of vector fields on the circle acts on the space of Riemann surfaces with a marked point and a local parameter at this point. We show that this ac…
Symmetries of the Kadomstev-Petviashvili Hierarchy
A. Yu. Orlov, P. Winternitz
The relation between the $\widehat{\Sl}(\infty)$ algebra of flows commuting with the KP hierarchy and the Kac-Moody-Virasoro Lie point symmetries of individual equations is establi…